Question

in the figure below, find the m<5,in degrees, if m<3=115°?

Answer 1

notice that angle 3 and angle 7 are corresponding angles, then:

$\measuredangle3=115=\measuredangle7$

then, angle 7 is vertical with angle 5, therefore:

$\begin{gathered} \measuredangle7=\measuredangle5 \\ \Rightarrow\measuredangle5=115\degree \end{gathered}$

finally, we have that angle 5 measures 115 degrees